Growth and Decay
A city’s population of 10,000 grows at a rate of 4% per year. What is the population after 6 years?
What is 12,653
A mathematical phrase that contains numbers, variables, and operation symbols but no equal sign.
What is an expression?
The vertical line that passes through the vertex of a parabola, dividing it symmetrically.
What is the axis of symmetry?
This number represents the steepness of a line and can be found using rise over run.
What is slope?
This is the most populous city in the United States.
What is New York City?
A scientist has 200 grams of a radioactive substance that decays at a rate of 15% per hour. How much of the substance remains after 5 hours?
What is 88.74 grams
A statement that shows two expressions are equal, often containing a variable.
What is an equation?
The process of breaking down a polynomial into the product of simpler polynomials.
What is factoring?
Two lines with the same slope but different y-intercepts are classified as this.
What are parallel lines?
This state has the longest coastline of any U.S. state.
What is Alaska?
A bank account starts with $2,000 and earns 6% annual interest, compounded yearly. How much money is in the account after 8 years?
What is $3,187.70
A relationship in which each input has exactly one output.
What is a function?
The standard Form of a quadratic equation is:
What Is
ax2 + bx + c = 0
This method for solving a system of equations involves replacing one variable with an equivalent expression from another equation.
What is substitution?
This U.S. state is made up entirely of islands and was the last to be admitted to the Union.
What is Hawaii?
The intensity of an earthquake is modeled by I= 10^M, where M is the magnitude on the Richter scale. What is the intensity of a magnitude 7 earthquake?
What is 10,000,000
This is the point where a graph crosses the y-axis.
What is the y-intercept?
The point on a parabola where the curve reaches its highest or lowest value.
What is the vertex?
In a linear equation, this represents a constant rate of change and is often found in real-world problems involving speed, cost per item, or salary increases.
What is slope?
This state shares borders with eight others, the most of any U.S. state.
What is Tennessee?
A bacteria colony triples in size every 4 hours. If it starts with 500 bacteria, how many bacteria are present after 12 hours?
What is 13,500
The graph of this type of equation forms a U-shaped curve called a parabola.
What is a quadratic function?
The part of the quadratic formula, b2−4ac, that determines the number and type of solutions.
What is the discriminant?
The standard form of a linear equation
What is :
Ax + By =C
This river forms part of the border between the United States and Mexico.
What is the Rio Grande?